Question

1. The binary relation {(1,1), (2,1), (2,2), (2,3)
(2,4), (3,1), (3,2)) on the set {1, 2, 3) is​

Answer 1

Answer:

We have A = { 1, 2, 3 } and R =

{ ( 1, 1 ), ( 2, 2 ), ( 3, 3 ), ( 1, 2), ( 2, 3), ( 1, 3 ) }.

Since ( 1, 1 ), ( 2, 2 ), ( 3, 3 ) R, R is reflexie

R is not symmetric because ( 1, 2 ) Rand ( 2, 1) R

R is transitive because ( 1, 2 ), ( 2, 3 ) R and ( 1, 3 ) R

Therefore, the correct answer is reflexive but not symmetric.

Step-by-step explanation:

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Answer 2

Answer:

We have A={1,2,3} and R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}.

Since (1,1),(2,2),(3,3)∈R, R is reflexive

R is not symmetric because (1,2)∈R and (2,1)



∈R.

R is transitive because (1,2),(2,3)∈R and (1,3)∈R.

Step-by-step explanation:

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